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Finding the Fourth Proportional to 1,058.11, 1,587.12 and 327.66

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Solution

The fourth proportional to 1,058.11, 1,587.12 and 327.66 is: 491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.11 : 1,587.12 = 327.66 : x
  2. Step 2: Convert to fraction form
    1,058.11/1,587.12 = 327.66/x
  3. Step 3: Cross multiply
    1,058.11x = 1,587.12 × 327.66
  4. Step 4: Simplify right side
    1,058.11x = 520,035.74
  5. Step 5: Solve for x
    x = 520,035.74/1,058.11
  6. Step 6: Final answer
    x = 491.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.